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Determine all elements of an integral domain that are

Chapter 13, Problem 36E

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QUESTION:

Determine all elements of an integral domain that are their own inverses under multiplication.

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QUESTION:

Determine all elements of an integral domain that are their own inverses under multiplication.

ANSWER:

Step 1 of 2

An integral domain is of commutative type and it has no zero-divisors. Thus in case of integral domain product is zero only when one of the factors is zero, that is only when or .    

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